Algebra-2

In a right triangle, the tangent (tan) of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse.

 

In the given triangle, angle A is the angle for which we need to find the tangent value. The side adjacent to angle A is AB, which has a length of 2, and hypotenuse AC of .

 

Using the Pythagorean theorem, the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. That is:

 

 

Given information states that AB = 2 and AC = . Now we can calculate the length of the opposite side CB :

 

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